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Finding the Fourth Proportional to 1,415.27, 2,123.60 and 594.23

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Solution

The fourth proportional to 1,415.27, 2,123.60 and 594.23 is: 891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.27 : 2,123.60 = 594.23 : x
  2. Step 2: Convert to fraction form
    1,415.27/2,123.60 = 594.23/x
  3. Step 3: Cross multiply
    1,415.27x = 2,123.60 × 594.23
  4. Step 4: Simplify right side
    1,415.27x = 1,261,893.24
  5. Step 5: Solve for x
    x = 1,261,893.24/1,415.27
  6. Step 6: Final answer
    x = 891.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.